A Structural Exploration of Demi-Complementation on ADLs

On an Almost Distributive Lattice (ADL), the concept of demi-complementation is introduced. From demi-complemented ADLs, we derived some important and interesting properties. Every demi-complemented ADL is given set equivalent conditions that yields a pseudo-complemented ADL, an MS-ADL, and a pseudo-complemented lattice.

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Publication Details

Journal
Contemporary Mathematics
Published
2025-09-18
DOI
https://doi.org/10.37256/cm.6520258069
Primary Topic
Semiconductor Lasers and Optical Devices
Type
article
Field-Weighted Citation Impact
0.00

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article

A Structural Exploration of Demi-Complementation on ADLs

Noorbhasha Rafi, Mukkamala Sambasiva Rao, Abu Zaid Ansari, Faiza Shujat et al.
Contemporary Mathematics
Semiconductor Lasers and Optical Devices
article

A Structural Exploration of Demi-Complementation on ADLs

Noorbhasha Rafi, Mukkamala Sambasiva Rao, Abu Zaid Ansari, Faiza Shujat, Y. Monikarchana
article en

Abstract

On an Almost Distributive Lattice (ADL), the concept of demi-complementation is introduced. From demi-complemented ADLs, we derived some important and interesting properties. Every demi-complemented ADL is given set equivalent conditions that yields a pseudo-complemented ADL, an MS-ADL, and a pseudo-complemented lattice.

Contemporary Mathematics
Sri Venkateswara University (IN), Taibah University (SA), Maharaj Vijayaram Gajapathi Raj College of Engineering (IN), Islamic University of Madinah (SA), Hindu College of Pharmacy (IN)
Islamic University of Madinah
Openalex Percentile: Top 75%
Semiconductor Lasers and Optical Devices
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